{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "29f16278-44d9-46d4-a693-a29ea7acef0d",
   "metadata": {},
   "source": [
    "### 📘 Scan-Lens Design for UV Applications (355 nm)\n",
    "\n",
    "This notebook demonstrates how to design a **Scan lens** using **singlet lenses from Thorlabs**, specifically targeting **UV applications** such as **3D printing**, **laser engraving**, and potentially **scanning microscopy**.\n",
    "\n",
    "The optical system is optimized for a **355 nm UV laser**, with the goal of focusing a collimated beam to a **spot size of 30–50 µm**. This spot size is suitable for a wide range of microscale fabrication and imaging applications.\n",
    "\n",
    "---\n",
    "\n",
    "### 🔍 Design Goals and Considerations\n",
    "\n",
    "- **UV Compatibility**: All components are selected for **high transmission at 355 nm**, using **UV anti-reflection coatings** and **UV-grade fused silica substrates**.\n",
    "- **Thermal and Optical Stability**: Materials are chosen for **low thermal expansion** and **high Laser-Induced Damage Threshold (LIDT)** to ensure stability under high-power UV exposure.\n",
    "- **Field Flatness**: A primary design goal is to maintain a **flat image plane** across the field of view — a core property of scanning lenses.\n",
    "The scan lens should therefore ensure that the spot displacement on the image plane is **proportional to the scan angle**.\n",
    "\n",
    "---\n",
    "\n",
    "### 🧠 Optical Strategy\n",
    "\n",
    "- The system is configured such that the **net optical power is close to zero**, which helps minimize field curvature and distortion.\n",
    "- A **long focal length** is used to convert small angular displacements of the scanning mirror into larger lateral displacements in the image plane. This increases scan precision but slightly enlarges the focused spot.\n",
    "- The design targets a **moderate scan area** (e.g., 10×10 mm or less), keeping galvo deflection angles small to reduce angular distortion and off-axis aberrations.\n",
    "\n",
    "---\n",
    "\n",
    "This design represents a practical balance between **simplicity, cost, and optical performance**, leveraging readily available components to achieve high-quality scanning in the UV domain.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "1826950f-d80d-45e8-a4c7-7ce02aa8cbd3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland import optic, analysis, mtf\n",
    "from optiland.materials import IdealMaterial\n",
    "from optiland import optimization\n",
    "from optiland.analysis import FieldCurvature\n",
    "from optiland.analysis import RmsSpotSizeVsField\n",
    "from optiland.analysis import ThroughFocusSpotDiagram"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a18cb92-3882-4640-92a4-4092f1621010",
   "metadata": {},
   "source": [
    "We start by defining the aperture type to be EPD, to replicate the behaviour of a collimated beam. We will choose the diameter to be 10 mm, since lasers commonly have at least a few mms diameter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "4b764c0f-529b-495d-a2b6-153c50d0f962",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d1c0382-6aef-4b01-9a8d-c50b4df3e686",
   "metadata": {},
   "source": [
    "The combination of lenses we would be choosing would be a combination of plano-concave and plano-convex lenses from Thorlabs, with focal lengths of -75mm, +100mm, +300mm respectively(Lens models :  LC4513-**UV**, LA - 4545-**UV**, LA-4855-**UV**). They are made of **UV** grade Fused Silica and have anti-reflective coatings that should suffice for applications with moderate laser power. Moreover, The two inch lenses provide sufficient clear aperture which could be effectively used for scanning purposes.\n",
    "\n",
    "We will first position the plano-convex and plano-concave lenses such that the plane surfaces face each other. We choose the distance between the two lenses to be about 25 mm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "5950af82-dd15-4aa2-84bd-41f5107466bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "uvfs = IdealMaterial(n=1.476, k=0)  # define fused silica's refractive index at 355 nm\n",
    "lens.add_surface(index=0, thickness=be.inf, radius=be.inf)\n",
    "lens.add_surface(index=1, radius=-34.5, thickness=3.5, material=uvfs, is_stop=True)\n",
    "lens.add_surface(index=2, radius=be.inf, thickness=25)\n",
    "lens.add_surface(index=3, radius=be.inf, thickness=10.640, material=uvfs)\n",
    "lens.add_surface(index=4, radius=-46, thickness=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4c46e5a-b997-4772-b0cf-de7adc1e24f6",
   "metadata": {},
   "source": [
    "The focusing lens is then inserted at about 20 mm downstream and the image plane is kept at about 300 mm from the last surface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "58d0e63d-7bce-41d0-9938-b684366d64da",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.add_surface(index=5, radius=138.020, thickness=5.350, material=uvfs)\n",
    "lens.add_surface(index=6, radius=be.inf, thickness=300)\n",
    "lens.add_surface(index=7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62590132-d697-404c-80a6-0e19f88a417a",
   "metadata": {},
   "source": [
    "Setting the field angles and the primary wavelength and performing the raytrace, we see that the lenses need significant positioning adjustment to reach an optimal focus condition."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "3b300ce8-d2bd-4527-aed7-2a16e515c4e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=5)\n",
    "lens.add_field(y=7)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.355, is_primary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "5840f04d-0023-42f3-b519-b8025eeaf1ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9b2305b-0c4e-4c2b-b76f-24bbd5727068",
   "metadata": {},
   "source": [
    "We use the optimizer to determine the best distances between the lenses to minimize the RMS spot size at the maximum field angle. The "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "89c4aeba-e66e-41c4-874b-c44789bac63c",
   "metadata": {},
   "outputs": [],
   "source": [
    "problem = optimization.OptimizationProblem()\n",
    "\n",
    "input_data = {\n",
    "    \"optic\": lens,\n",
    "    \"surface_number\": -1,\n",
    "    \"Hx\": 0,\n",
    "    \"Hy\": 1,\n",
    "    \"num_rays\": 5,\n",
    "    \"wavelength\": 0.355,\n",
    "    \"distribution\": \"hexapolar\",\n",
    "}\n",
    "\n",
    "# add RMS spot size operand\n",
    "problem.add_operand(\n",
    "    operand_type=\"rms_spot_size\",\n",
    "    target=0,\n",
    "    weight=1,\n",
    "    input_data=input_data,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "2f98a7fb-983d-492c-b041-ca9dcfeb2b5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "problem.add_variable(lens, \"thickness\", surface_number=2)\n",
    "problem.add_variable(lens, \"thickness\", surface_number=4)\n",
    "problem.add_variable(lens, \"thickness\", surface_number=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "1b19df80-42f1-4a73-9a15-b25d84debe3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  message: CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL\n",
       "  success: True\n",
       "   status: 0\n",
       "      fun: 0.0031936552616738806\n",
       "        x: [ 3.224e-01  1.000e+00  2.884e+01]\n",
       "      nit: 3\n",
       "      jac: [ 2.953e-04  5.989e-05  1.232e-04]\n",
       "     nfev: 16\n",
       "     njev: 4\n",
       " hess_inv: <3x3 LbfgsInvHessProduct with dtype=float64>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optimizer = optimization.OptimizerGeneric(problem)\n",
    "optimizer.optimize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "cf0d6f03-c2c9-43e4-b291-ff7f85c6485f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════════════╤═══════════════════╕\n",
      "│    │   Merit Function Value │   Improvement (%) │\n",
      "╞════╪════════════════════════╪═══════════════════╡\n",
      "│  0 │             0.00319366 │           99.9263 │\n",
      "╘════╧════════════════════════╧═══════════════════╛\n",
      "╒════╤════════════════╤══════════╤══════════════╤══════════════╤══════════╤═════════╤═════════╤════════════════╕\n",
      "│    │ Operand Type   │   Target │ Min. Bound   │ Max. Bound   │   Weight │   Value │   Delta │   Contrib. [%] │\n",
      "╞════╪════════════════╪══════════╪══════════════╪══════════════╪══════════╪═════════╪═════════╪════════════════╡\n",
      "│  0 │ rms spot size  │        0 │              │              │        1 │   0.057 │   0.057 │            100 │\n",
      "╘════╧════════════════╧══════════╧══════════════╧══════════════╧══════════╧═════════╧═════════╧════════════════╛\n",
      "╒════╤═════════════════╤═══════════╤══════════╤══════════════╤══════════════╕\n",
      "│    │ Variable Type   │   Surface │    Value │ Min. Bound   │ Max. Bound   │\n",
      "╞════╪═════════════════╪═══════════╪══════════╪══════════════╪══════════════╡\n",
      "│  0 │ thickness       │         2 │  13.2239 │              │              │\n",
      "│  1 │ thickness       │         4 │  20.005  │              │              │\n",
      "│  2 │ thickness       │         6 │ 298.392  │              │              │\n",
      "╘════╧═════════════════╧═══════════╧══════════╧══════════════╧══════════════╛\n"
     ]
    }
   ],
   "source": [
    "problem.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "cdab35de-4c80-43f5-b721-f00a0d38521d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1e397f8-cc63-4879-a48f-9e1d9346f09a",
   "metadata": {},
   "source": [
    "The results after optimization indicate that for angles close to zero and hence within a scan field less than 5mmx5mm, the system could in theory provide near diffraction-limited performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "87ab0980-5b2f-4e77-987a-e8bae8e7bf2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view(add_airy_disk=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97da63ce-a8b1-4cd6-af2e-27afe7ff68ff",
   "metadata": {},
   "source": [
    "The field curvature plot indicates that the field is fairly flat over the angles that we are interested in. However, the focus plane appears to be shifted axially, which would need to be compensated for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "51f411cc-bdef-44a6-be64-e13f7eb98700",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "field_curvature = FieldCurvature(lens)\n",
    "field_curvature.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b0c0e7b-e801-4230-906a-63050bfc4ad5",
   "metadata": {},
   "source": [
    "All the remaining analysis plots indicate that a resolution better than 50 microns is possible, for field angles up to 5 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "e5fd068b-ad98-4ca4-b4bc-988459316d92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rms_vs_field = RmsSpotSizeVsField(lens)\n",
    "rms_vs_field.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "a00cd3cc-7898-45e1-8550-92acb2cd3f1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "geo_mtf = mtf.GeometricMTF(lens)\n",
    "geo_mtf.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "57b809dc-baa0-4b9a-9cb4-7b4596fd96bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "distortion = analysis.Distortion(lens)\n",
    "distortion.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9792ab6d-2287-483d-b807-67e35003e118",
   "metadata": {},
   "source": [
    "To conclude, we can hence build a simple scanning lens system for applications such as **UV** polymerization, microfluidics and laser induced flourescence excitation to name a few. The system demonstrated above can in principle be used with visible light as well, albeit with slightly different distances. Thorlabs offers the same lenses but with a different coating for the 400-700 nm wavelength range and hence, the design could be used for a variety of wavelengths between 250-700 nm."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
